4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to predict the squirrel population t years from now if you expect the population to grow at a constant rate of 40 squirrels per year. Hint-what type of function has a constant rate of change? b. Write a function Q(t) to predict the squirrel population t years from now if you expect the population to increase by 8% each year. Hint-this is like the growth of an account with 8% interest calculated annually. c. For BOTH functions you found above, predict the squirrel population in 12 years. Round to the nearest whole number as needed.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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4. A population of squirrels is currently measured to be 500 squirrels.
a. Write a function P(t) to predict the squirrel population t years from now if you expect the
population to grow at a constant rate of 40 squirrels per year. Hint-what type of function
has a constant rate of change?
b. Write a function Q(t) to predict the squirrel population t years from now if you expect the
population to increase by 8% each year. Hint-this is like the growth of an account with 8%
interest calculated annually.
c. For BOTH functions you found above, predict the squirrel population in 12 years. Round to
the nearest whole number as needed.
Transcribed Image Text:4. A population of squirrels is currently measured to be 500 squirrels. a. Write a function P(t) to predict the squirrel population t years from now if you expect the population to grow at a constant rate of 40 squirrels per year. Hint-what type of function has a constant rate of change? b. Write a function Q(t) to predict the squirrel population t years from now if you expect the population to increase by 8% each year. Hint-this is like the growth of an account with 8% interest calculated annually. c. For BOTH functions you found above, predict the squirrel population in 12 years. Round to the nearest whole number as needed.
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